Calculate the Arc Length of the Indicated Portion of the Curve

question 138

Multiple Choice

Calculate the arc length of the indicated portion of the curve r(t) .
- $$\mathbf { r } ( t ) = ( 4 - 6 t ) \mathbf { i } + ( 9 + 9 t ) \mathbf { j } + ( 2 t - 2 ) \mathbf { k } , - 10 \leq t \leq 1$$

• A) -1089
• B) -99
• C) 121
• D) 1331

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Definitions:

Free Will

The concept that humans have the ability to make choices that are not predetermined by past events, genetic predisposition, or current environmental pressures, implying a certain degree of self-determination.

Determinism

The philosophical doctrine that all events, including human choices and actions, are ultimately determined by causes external to the will.

Functional Analysis

An approach to the study of behavior that involves assessing the frequency of a behavior, the situation in which it occurs, and the reinforcers associated with it.

Behavior Modification Techniques

Methods used in behavior analysis and psychology to change someone's behavior through positive or negative reinforcement or punishment.